Fields Institute Courses

Shadow Sequences of Integers

Explore integer shadow sequences, cluster algebras, and supergeometry in this advanced mathematics talk, delving into coordinate transformations and hypergraphs.

• YouTube
• 39 minutes
• Self-Paced
• Free Video

Applications of O-minimality to Hodge Theory - Lecture 4

Explore infinitesimal thickening, definable spaces, and cell decomposition in o-minimality, with applications to Hodge theory and Abelian shields.

• YouTube
• 50 minutes
• Self-Paced
• Free Video

Some Open Problems in the Geometry of Complex Supercurves

Explore complex supercurves, including split and elliptic types, spectral curves, divisors, and line bundles. Discover open problems in supergeometry and their connections to physics.

• YouTube
• 49 minutes
• Self-Paced
• Free Video

Cluster Algebra Structures from Decorated Super-Teichmüller Spaces

Explore cluster algebra structures derived from decorated super-Teichmüller spaces, examining dimer models and labels in the context of supergeometry and bracket structures.

• YouTube
• 26 minutes
• Self-Paced
• Free Video

Applications of O-minimality to Hodge Theory - Lecture 2

Explore o-minimality's applications to Hodge Theory, covering definable spaces, fundamental domains, and Hodge metrics in this advanced graduate-level lecture.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

2-Selmer Groups, 2-Class Groups, and the Arithmetic of Binary Forms

Explore Selmer groups, class groups, and binary forms in number theory. Gain insights into elliptic curves, hyperelliptic Jacobians, and superelliptic equations in this advanced mathematics seminar.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

Tameness Beyond O-Minimality - Lecture 2

Explore advanced mathematical concepts in tame geometry, focusing on o-minimality, metric dimensions, and related topics in real algebraic geometry.

• YouTube
• 52 minutes
• Self-Paced
• Free Video

Hilbert's 16th Problem and O-Minimality - Lecture 1

Explore the topology of cycles, limit cycles, and related mathematical concepts in this advanced graduate-level lecture on Hilbert's 16th problem and o-minimality.

• YouTube
• 1 hour 43 minutes
• Self-Paced
• Free Video

Decidability Bounds for Presburger Arithmetic Extended by Sine

Explore decidability bounds in extended Presburger arithmetic with sine, covering previous results, methods, and the Channel conjecture in this mathematical seminar.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

Tameness Beyond O-Minimality - Lecture 1

Explore advanced mathematical concepts beyond o-minimality, including real fields, partial orders, and postminimality in this graduate-level lecture on tame phenomena.

• YouTube
• 1 hour 28 minutes
• Self-Paced
• Free Video

What the Numbers Say - Endemicity - What’s Next?

Experts discuss COVID-19 endemicity, examining data-driven approaches to future outbreaks. Topics include variants, immunity, global perspectives, and policy challenges in transitioning to an endemic state.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Recent Developments in Respondent-Driven Sampling

Explore recent advancements in respondent-driven sampling techniques for surveying hidden populations, including network-based approaches and regression methods for data analysis.

• YouTube
• 32 minutes
• Self-Paced
• Free Video

Tame Phenomena Over the Real Field - Lecture 6

Explore control theory concepts including flows, log spirals, limit cycles, and restricted analytic functions in this advanced graduate-level lecture on tame phenomena.

• YouTube
• 56 minutes
• Self-Paced
• Free Video

New Techniques for the Resolution of Singularities of Vector Fields and Differential Operators

Explore advanced techniques for resolving singularities in vector fields and differential operators, covering localization, geometric theorems, and coordinate systems for complex mathematical analysis.

• YouTube
• 1 hour 44 minutes
• Self-Paced
• Free Video

Complex Analysis in O Minimal Expansions of Real Closed Fields Lecture

Explore complex analysis in o-minimal expansions, covering analytic functions, differentiability, and definability. Gain insights into advanced mathematical concepts and their applications.

• YouTube
• 49 minutes
• Self-Paced
• Free Video